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mmend98
 one year ago
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the formula to an equivalent form that calculates three times a year, not just once a year. Which function is correct for Jackie's purpose, and what is the new growth rate? (5 points)
f(x) = 4(4)x; growth rate 400%
f(x) = 4(4)3x, growth rate 4%
f(x) = 4(1.59)3x; growth rate 59%
f(x) = 4(1.59)x; growth rate 4%
mmend98
 one year ago
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the formula to an equivalent form that calculates three times a year, not just once a year. Which function is correct for Jackie's purpose, and what is the new growth rate? (5 points) f(x) = 4(4)x; growth rate 400% f(x) = 4(4)3x, growth rate 4% f(x) = 4(1.59)3x; growth rate 59% f(x) = 4(1.59)x; growth rate 4%

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thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0What is f(x) equal to? What is 4(4)x?

mmend98
 one year ago
Best ResponseYou've already chosen the best response.1I think it would be B.

mmend98
 one year ago
Best ResponseYou've already chosen the best response.1they are exponential as well the answers sorry for the typo

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2rearrange the exponent as \(\frac{3x}{3}\) and simplify : \[\large{\begin{align}f(x)=4(4)^x &= 4(4)^{\frac{3x}{3}}\\~\\ &= 4(4^{\frac{1}{3}})^{3x}\\~\\ &= ? \end{align}}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2use ur calculator to work \(\large 4^{\frac{1}{3}}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2wolf says \(\approx 1.59\) http://www.wolframalpha.com/input/?i=4%5E%281%2F3%29

mmend98
 one year ago
Best ResponseYou've already chosen the best response.1So the answer would be D?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2right, one of them how do we pin down which one it is

mmend98
 one year ago
Best ResponseYou've already chosen the best response.1because it is the same but manipulatd as the original equation

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2rearrange the exponent as \(\frac{3x}{3}\) and simplify : \[\large{\begin{align}f(x)=4(4)^x &= 4(4)^{\frac{3x}{3}}\\~\\ &= 4(4^{\frac{1}{3}})^{3x}\\~\\ &= 4(1.\color{red}{59})^{3x}\\~\\ \end{align}}\] that red part gives you the growth rate

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2the fly population grows at a rate of \(59\%\) per quarter

mmend98
 one year ago
Best ResponseYou've already chosen the best response.1we know c is the anser because 59 percent is the growht rate
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